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kari74 [83]
3 years ago
10

a man invests a total of 5000 in a bank account that yields 5% interest compound monthly. how much will it be worth after 6 year

s?
Mathematics
1 answer:
kaheart [24]3 years ago
7 0

Answer:

  6745.09

Step-by-step explanation:

If we assume the nominal annual interest rate is 5%, then the future value after 6 years is ...

  FV = P(1 +r/12)^(12·t)

for P = 5000, r = .05, t = 6.

Doing the arithmetic, we get ...

  FV = 5000(1 +.05/12)^(12·6) ≈ 6745.09

After 6 years, the bank account will be worth 6745.09.

_____

We made a comment about the interest rate, because the annual <em>yield</em> is about 5.116%. If the <em>annual yield</em> is actually 5%, then the account value is lower: $6700.48. (Monthly compounding is irrelevant in that case, because it is already figured into the yield.)

Usually, the wording would be that the account <em>earns</em> 5% interest compounded monthly.

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Plot two numbers on the numberline that are 7 units from 3<br><br> Is this correct?
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Step-by-step explanation:

It is 7 units from 3 not 3 the number itself

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Calculate the volume of the cylinder. Use button, not 3.14. Round answer to the tenth place.
Volgvan

Answer:

68.69 m^3

Step-by-step explanation:

Volume of cone = \frac{1}{3}\pi r^{2}h

= \frac{1}{3}\pi (2.9^{2})(7.8)

= \frac{1}{3}\pi (65.6)\\

= \frac{1}{3}(206)

= 68.69 m^3

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2 years ago
) Asuka travels at an average speed of 50 mph for 20 miles.
Anuta_ua [19.1K]

Answer: 41.86 miles/hour

Step-by-step explanation:

Use Distance = Speed*Time to find the two missing values with the data that is provided for those two cases [<em>in brackets</em>].

MPH MILES     HOURS

 50            20      [<em>0.4]</em>

 [<em>40</em>]    <u>70</u>      <u>1.75</u>

Totals   90 miles   2.15 hours

Average = 90 miles/2.15 hours

     41.86 mph

5 0
2 years ago
Are you smarter than a second grader? A random sample of 60 second graders in a certain school district are given a standardized
denis23 [38]

Answer:

We accept H₀ , we do not have enought evidence for rejecting H₀

Step-by-step explanation:

Normal Distribution

sample size   n  =   60

standard deviation     σ  =  15

1.Hypothesis Test : Is a one tailed-test on the right

H₀      null hypothesis             μ₀  = 50

Hₐ    alternative hypothesis   μ₀  > 50

2.-We will do the test for  a significance level   α =  0,01 tht means for a 99% interval of confidence

then z(c)  =  2.32

3.- We compute z(s)  

z(s)  =  [ ( μ - μ₀ ) /( σ/√n )       ⇒  z(s)  =  (  2 * √60 ) / 15

z(s)  = 15.49/15                        ⇒   z(s)  = 1.033

4.- We compare values of  z(c)   and z(s)

z(s)  <  z(c)      1.033 < 2.32

z(s) is in the acceptance region so we accept H₀ , we do not have enough evidence for rejecting H₀

6 0
3 years ago
A group of eight golfers paid $430 to play a round of golf . Of the golfers one was a member and 7 were not what is the cost for
charle [14.2K]

Answer:

Incomplete question

Complete question;

A group of eight golfers paid $430 to play a round of golf . Of the golfers one was a member and 7 were not.

Another group of golfers consists of two members and one nonmember. They paid a total of $75. What is the cost for a member to play a round of golf, and what is the cost for a nonmember?

Answer: X = $82.695 for members

Y = $49.615 for non members

Step-by-step explanation:

Let's use X to denote members and Y for non-members.

Therefore, amount paid by one member to play + amount paid by 7 non-members to play = 430

X + 7Y = 430. . .1

Amount paid by 2 members to play + amount paid by one non-member to play = 215

2X + Y = 215. . .2

Solving both equations simultaneously

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2X +Y = 215

Therefore, from eqn 1. X = 430-7y

Substituting this into wan 2 gives

2(430-7Y) + Y = 215

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860-215 =13Y

645 = 13y

Y = 49.615

Therefore substituting Y = 49.615 into any equation above

X + 7(49.615) = 430

X = 430-347.05

X = 82.695

3 0
3 years ago
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